11768328 has 160 divisors (see below), whose sum is σ = 39029760. Its totient is φ = 3265920.

The previous prime is 11768327. The next prime is 11768333. The reversal of 11768328 is 82386711.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11768292 and 11768301.

It is not an unprimeable number, because it can be changed into a prime (11768327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92601 + ... + 92727.

It is an arithmetic number, because the mean of its divisors is an integer number (243936).

Almost surely, 2^11768328 is an apocalyptic number.

11768328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11768328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19514880).

11768328 is an abundant number, since it is smaller than the sum of its proper divisors (27261432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11768328 is a wasteful number, since it uses less digits than its factorization.

11768328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 156 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 11768328 is about 3430.4996720595. The cubic root of 11768328 is about 227.4599406179.

It can be divided in two parts, 117683 and 28, that added together give a palindrome (117711).

The spelling of 11768328 in words is "eleven million, seven hundred sixty-eight thousand, three hundred twenty-eight".